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Simplifying 5 + y = 16 + -3(y + 1) Reorder the terms: 5 + y = 16 + -3(1 + y) 5 + y = 16 + (1 * -3 + y * -3) 5 + y = 16 + (-3 + -3y) Combine like terms: 16 + -3 = 13 5 + y = 13 + -3y Solving 5 + y = 13 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 5 + y + 3y = 13 + -3y + 3y Combine like terms: y + 3y = 4y 5 + 4y = 13 + -3y + 3y Combine like terms: -3y + 3y = 0 5 + 4y = 13 + 0 5 + 4y = 13 Add '-5' to each side of the equation. 5 + -5 + 4y = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = 13 + -5 4y = 13 + -5 Combine like terms: 13 + -5 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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